环上的反同态  

Anti-homomorphism of Rings

作　　者：代国江 郭继东[1] 

机构地区：[1]伊犁师范学院数学与统计学院,新疆伊宁835000

出　　处：《合肥学院学报（自然科学版）》2011年第4期16-18,共3页Journal of Hefei University :Natural Sciences

基　　金：新疆维吾尔自治区自然科学基金项目(2010211A38);伊犁师范学院科研课题项目(2011YNYJS009)资助

摘　　要：介绍了环反同态的概念,提出并证明了与此相关的重要定理:反同态与同态一定条件下相互转化的关系定理,环的反同态基本定理,反同态下两个环的代数结构、性质之间的异同.旨为更深刻地研究环结构和性质做准备.The concept of anti-homomorphism on rings is introduced.Properties and some important theorems which are related to this concept are given and proved.Anti-homomorphism can becomes homomorphism in certain conditions.Anti-homomorphism fundamental theorem is important.There are some relations between two algebraic structures of rings under the condition of anti-homomorphism.Thus we lay solid foundation of further research in rings＇ structure.

关 键 词：环 反同态 同态 

分 类 号：O153.3[理学—数学]